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Finding the Fourth Proportional to 10,986.82, 15,161.08 and 6,794.26

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Solution

The fourth proportional to 10,986.82, 15,161.08 and 6,794.26 is: 9,375.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,986.82 : 15,161.08 = 6,794.26 : x
  2. Step 2: Convert to fraction form
    10,986.82/15,161.08 = 6,794.26/x
  3. Step 3: Cross multiply
    10,986.82x = 15,161.08 × 6,794.26
  4. Step 4: Simplify right side
    10,986.82x = 103,008,319.40
  5. Step 5: Solve for x
    x = 103,008,319.40/10,986.82
  6. Step 6: Final answer
    x = 9,375.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.